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Search: id:A144519
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| A144519 |
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Triangular numbers n*(n+1)/2 with n prime and n+1 nonprime. |
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+0
1
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| 6, 15, 28, 66, 91, 153, 190, 276, 435, 496, 703, 861, 946, 1128, 1431, 1770, 1891, 2278, 2556, 2701, 3160, 3486, 4005, 4753, 5151, 5356, 5778, 5995, 6441, 8128, 8646, 9453, 9730, 11175, 11476, 12403, 13366, 14028, 15051, 16110, 16471, 18336, 18721, 19503, 19900, 22366, 24976, 25878
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is A034953 without the 3. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 21 2009]
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EXAMPLE
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If n=3(prime) and n=4(nonprime), then 3*4/2=6=a(1). If n=5(prime) and n=6(nonprime), then 5*6/2=15=a(2). If n=7(prime) and n=8(nonprime), then 7*8/2=28=a(3). If n=11(prime) and n=12(nonprime), then 11*12/2=66=a(4). If n=13(prime) and n=14(nonprime), then 13+14/2=91=a(5), etc.
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CROSSREFS
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Cf. A000040, A000217, A141468, A144291.
Sequence in context: A134978 A115742 A026102 this_sequence A066995 A005286 A025212
Adjacent sequences: A144516 A144517 A144518 this_sequence A144520 A144521 A144522
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Dec 15 2008
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EXTENSIONS
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Corrected definition. Inserted 2701, extended beyond 11175. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 19 2008
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